106048144092 has 144 divisors (see below), whose sum is σ = 287845512192. Its totient is φ = 30129269760.

The previous prime is 106048144049. The next prime is 106048144117. The reversal of 106048144092 is 290441840601.

It is a super-2 number, since 2×106048144092² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106048144092.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4610773 + ... + 4633715.

It is an arithmetic number, because the mean of its divisors is an integer number (1998927168).

Almost surely, 2^106048144092 is an apocalyptic number.

106048144092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106048144092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143922756096).

106048144092 is an abundant number, since it is smaller than the sum of its proper divisors (181797368100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106048144092 is a wasteful number, since it uses less digits than its factorization.

106048144092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23096 (or 23075 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

Adding to 106048144092 its reverse (290441840601), we get a palindrome (396489984693).

The spelling of 106048144092 in words is "one hundred six billion, forty-eight million, one hundred forty-four thousand, ninety-two".